1) Identify the domain and range InputOutput ) Graph y = -2x Domain = -1, 2, 5 & 6 Range = -2 & 3

x y x y Domain: x > 0, Range: y > 0Domain and range: all real numbers (0,0) (1,1) (0,0) (-1,-1) Objective- Students will learn to graph functions of the form y = a x – h + k and y = a 3 x – h + k.

 Example 1 Describe how to create the graph of y = x + 2 – 4 from the graph of y = x. Comparing Two Graphs Solution h = -2 and k = -4 shift the graph to the left 2 units & down 4 units

Graphs of Radical Functions To graph y = a x - h + k or y = a 3 x - h + k, follow these steps. STEP  Sketch the graph of y = a x or y = a 3 x. STEP  Shift the graph h units horizontally and k units vertically

 Example 2 Graph y = -3 x – Graphing a Square Root Solution 1)Sketch the graph of y = -3 x (dashed). It begins at the origin and passes through point (1,-3). (1, 3) (1,-3) (0,0)(2,0) 2) For y = -3 x – 1 + 3, h = 1 & k = 3. Shift both points 1 to the right and 3 up.

Graph y = 2 x – Graphing a Square Root (2, 1) (1,2) (0,0) (3,3)

Graph y = 2 3 x + 3 – 4.  Example 3 Graphing a Cube Root Solution 1)Sketch the graph of y = 2 3 x (dashed). It passed through the origin & the points (1, 2) & (-1, -2). (-4,-6) (0,0) (-3,-4) (-2,-2) (-1,-2) (1, 2) 2) For y = 2 x + 3 – 4, h = -3 & k = -4. Shift the three points Left 3 and Down 4.

Graph y = 3 3 x – Graphing a Cube Root (1,-2) (0,0) (2,1) (3,4) (-1,-3) (1, 3)

Pg. 423 # 1 – 23* odd

Pg. 423 # 3 – 6 and 18 – 21